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arXiv · 1103.0093

Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras

Joakim Arnlind·Abdenacer Makhlouf·Sergei Silvestrov
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Abstract

We present a procedure to construct (n+1)-Hom-Nambu-Lie algebras from n-Hom-Nambu-Lie algebras equipped with a generalized trace function. It turns out that the implications of the compatibility conditions, that are necessary for this construction, can be understood in terms of the kernel of the trace function and the range of the twisting maps. Furthermore, we investigate the possibility of defining (n+k)-Lie algebras from n-Lie algebras and a k-form satisfying certain conditions.

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BibTeXRIS

Joakim Arnlind, Abdenacer Makhlouf, Sergei Silvestrov. 2011-03-01. Construction of n-Lie algebras and n-ary Hom-Nambu-Lie algebras. https://doi.org/10.1063/1.3653197

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